Pluto is 59,1,30,00, 000 m from the sun. Express this in the standard form.

Solution:

Given, Pluto is 59,1,30,00, 000 m from the sun.

We have to write the standard form.

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed as the standard form.

59,1,30,00, 000 = 5913 × 10⁶

= 5.913 × 10³ × 10⁶

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 3

n = 6

So, m + n = 3 + 6

= 9

So, 10³ × 10⁶ = 10⁹

5.913 × 10³ × 10⁶ = 5.913 × 10⁹ km

Therefore, the required standard form is 5.913 × 10⁹.

✦ Try This: Mars is 61,30,00, 000 m from the sun. Express this in the standard form.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 111

Pluto is 59,1,30,00, 000 m from the sun. Express this in the standard form.

Summary:

Pluto is 59,1,30,00, 000 m from the sun. Expressing this in the standard form we get 5.913 × 10⁹ km.

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